Albion College Mathematics and Computer Science Colloquium

 Title: A Dialogue between Additive Functions and Squared Rectangles Speaker: Mingjia Yang, 13 Mathematics Major Mathematics and Computer Science Albion College Albion, Michigan Abstract: Rectangles that can be partitioned into squares are called squared rectangles. This talk will demonstrate and prove one surprising property of squared rectangles: the ratio of width/length is rational! Which means, if we have a rectangle of width $\sqrt{2}$ and length 0.8 (of the same unit), then we know this rectangle cannot be squared! We will go over a proof of this result using additive functions. The proof itself is almost as beautiful as the result, since we see how different areas of mathematics interact with each other in a deep way. Location: Palenske 227 Date: 4/25/2013 Time: 3:30 PM

@abstract{MCS:Colloquium:MingjiaYang13:2013:4:25,
author  = "{Mingjia Yang, 13}",
title   = "{A Dialogue between Additive Functions and Squared Rectangles}",
address = "{Albion College Mathematics and Computer Science Colloquium}",
month   = "{25 April}",
year    = "{2013}"
}
`